{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Cubic Element for Poisson Equation in 2D"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This example is to show the rate of convergence of the cubic finite element approximation of the Poisson equation on the unit square:\n",
    "\n",
    "$$- \\Delta u = f \\; \\hbox{in } (0,1)^2$$\n",
    "\n",
    "for the following boundary conditions\n",
    "- Non-empty Dirichlet boundary condition: $u=g_D \\hbox{ on }\\Gamma_D, \\nabla u\\cdot n=g_N \\hbox{ on }\\Gamma_N.$\n",
    "- Pure Neumann boundary condition: $\\nabla u\\cdot n=g_N \\hbox{ on } \\partial \\Omega$.\n",
    "- Robin boundary condition: $g_R u + \\nabla u\\cdot n=g_N \\hbox{ on }\\partial \\Omega$.\n",
    "\n",
    "**References**:\n",
    "- [Quick Introduction to Finite Element Methods](femdoc.html)\n",
    "- [Introduction to Finite Element Methods](http://www.math.uci.edu/~chenlong/226/Ch2FEM.pdf)\n",
    "- [Progamming of Finite Element Methods](http://www.math.uci.edu/~chenlong/226/Ch3FEMCode.pdf)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## P3 Quadratic Element\n",
    "\n",
    "We explain degree of freedoms and Lagrange basis for the cubic element on a triangle. There are three types of dofs: vertex type, edge type and element type. Given a mesh, the required data structure can be constructured by\n",
    "\n",
    "  `[elem2dof,elem2edge,edge,bdDof,freeDof] = dofP3(elem)`\n",
    "\n",
    "**A local basis of P3**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjAAAAGkCAIAAACgjIjwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA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\n/wPgV8LYM5GKBwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%% Local indexing of DOFs\n",
    "node = [1,0; 1,1; 0,0];\n",
    "elem = [1 2 3];\n",
    "edge = [2 3; 1 3; 1 2];\n",
    "% elem2dof = 1:6;\n",
    "figure;\n",
    "set(gcf,'Units','normal'); \n",
    "set(gcf,'Position',[0,0,0.5,0.3]);\n",
    "subplot(1,2,1)\n",
    "showmesh(node,elem);\n",
    "findnode(node);\n",
    "findedgedof(node,edge);\n",
    "subplot(1,2,2)\n",
    "showmesh(node,elem);\n",
    "findnode(node);\n",
    "findedge(node,edge);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The six Lagrange-type bases functions are denoted by $\\phi_i, i=1:6$, i.e. $\\phi_i(x_j)=\\delta _{ij},i,j=1:6$. In\n",
    "barycentric coordinates, they are \n",
    "\n",
    "$$ \\phi_1 = \\lambda_1(2\\lambda_1 -1),\\quad \\nabla \\phi_1 = \\nabla \\lambda_1(4\\lambda_1-1),$$\n",
    "\n",
    "$$ \\phi_2 = \\lambda_2(2\\lambda_2 -1),\\quad  \\nabla \\phi_2 = \\nabla \\lambda_2(4\\lambda_2-1),$$ \n",
    "\n",
    "$$ \\phi_3 = \\lambda_3(2\\lambda_3 -1),\\quad  \\nabla \\phi_3 = \\nabla \\lambda_3(4\\lambda_3-1),$$ \n",
    "\n",
    "$$ \\phi_4 = 4\\lambda_2\\lambda_3,\\quad  \\nabla\\phi_4 = 4\\left (\\lambda_2\\nabla \\lambda_3 + \\lambda_3\\nabla \\lambda_2\\right )\\; ,$$ \n",
    "\n",
    "$$ \\phi_5 = 4\\lambda _3\\lambda_1,\\quad  \\nabla\\phi_5= 4\\left (\\lambda_3\\nabla \\lambda_1 + \\lambda_1\\nabla \\lambda_3\\right )\\; ,$$ \n",
    "\n",
    "$$ \\phi_6 = 4\\lambda _1\\lambda_2,\\quad  \\nabla\\phi_6=4\\left (\\lambda_1\\nabla \\lambda_2 + \\lambda_2\\nabla\\lambda_1\\right )\\; .$$\n",
    "\n",
    "When transfer to the reference triangle formed by $(0,0),(1,0),(0,1)$, the local bases in x-y coordinate can be obtained by substituting \n",
    "\n",
    "$$\\lambda _1 = x, \\quad \\lambda _2 = y, \\quad \\lambda _3 = 1-x-y.$$ "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Local to global index mapp\n",
    "\n",
    "The matrix elem2dof is the local to global index mapping of dofs. The\n",
    "first 3 columns, elem2dof(:,1:3), is the global indices of dofs\n",
    "associated to vertexes and thus elem2dof(:,1:3) = elem. The columns\n",
    "elem2dof(:,4:6) point to indices of dofs on edges. The matrix bdDof\n",
    "contains all dofs on the boundary of the mesh."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjAAAAGkCAIAAACgjIjwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "node = [0,0; 1,0; 1,1; 0,1];\n",
    "elem = [2,3,1; 4,1,3];      \n",
    "[node,elem] = uniformrefine(node,elem);\n",
    "figure;\n",
    "showmesh(node,elem);\n",
    "findnode(node);\n",
    "findelem(node,elem,'all','index','FaceColor',[0.5 0.9 0.45]);\n",
    "[elem2dof,edge,bdDof] = dofP2(elem);\n",
    "findedgedof(node,edge);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "elem2dof =\n",
      "\n",
      "  8�6 uint32 matrix\n",
      "\n",
      "    2    8    5   21   13   14\n",
      "    4    7    9   25   19   18\n",
      "    8    3    6   15   23   16\n",
      "    7    1    6   11   22   12\n",
      "    5    6    1   11   10   20\n",
      "    9    6    3   15   17   24\n",
      "    6    5    8   21   23   20\n",
      "    6    9    7   25   22   24\n",
      "\n",
      "\n",
      "bdDof =\n",
      "\n",
      "     1\n",
      "     2\n",
      "     3\n",
      "     4\n",
      "     5\n",
      "     7\n",
      "     8\n",
      "     9\n",
      "    10\n",
      "    12\n",
      "    13\n",
      "    14\n",
      "    16\n",
      "    17\n",
      "    18\n",
      "    19\n",
      "\n"
     ]
    }
   ],
   "source": [
    "display(elem2dof);\n",
    "display(bdDof);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Mixed boundary condition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:     4225,  #nnz:    39184, smoothing: (1,1), iter: 11,   err = 7.55e-10,   time =  0.2 s\n",
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:    16641,  #nnz:   160272, smoothing: (1,1), iter: 11,   err = 7.19e-10,   time = 0.18 s\n",
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:    66049,  #nnz:   648208, smoothing: (1,1), iter: 11,   err = 6.86e-10,   time = 0.35 s\n",
      "\n",
      " #Dof       h       ||u-u_h||    ||Du-Du_h||   ||DuI-Du_h|| ||uI-u_h||_{max}\n",
      "\n",
      " 1089   6.25e-02   5.70490e-05   8.40318e-03   6.97560e-04   8.88533e-05\n",
      " 4225   3.12e-02   7.13419e-06   2.10745e-03   1.10743e-04   1.14531e-05\n",
      "16641   1.56e-02   8.92199e-07   5.27421e-04   1.82456e-05   1.45475e-06\n",
      "66049   7.81e-03   1.11557e-07   1.31907e-04   3.09580e-06   1.83386e-07\n",
      "\n",
      " #Dof   Assemble     Solve      Error      Mesh    \n",
      "\n",
      " 1089   9.00e-02   8.37e-03   1.00e-01   3.00e-02\n",
      " 4225   7.00e-02   1.95e-01   5.00e-02   4.00e-02\n",
      "16641   2.00e-01   1.82e-01   9.00e-02   5.00e-02\n",
      "66049   5.40e-01   3.46e-01   2.60e-01   1.40e-01\n",
      "\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjAAAAGkCAIAAACgjIjwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjAAAAGkCAIAAACgjIjwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA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\nEgAAAEb4P0BsvXNfAlaDAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%% Setting\n",
    "[node,elem] = squaremesh([0,1,0,1],0.25); \n",
    "mesh = struct('node',node,'elem',elem);\n",
    "option.L0 = 2;\n",
    "option.maxIt = 4;\n",
    "option.printlevel = 1;\n",
    "option.plotflag = 1;\n",
    "option.elemType = 'P2';\n",
    "% Mixed boundary condition\n",
    "pde = sincosdata;\n",
    "mesh.bdFlag = setboundary(node,elem,'Dirichlet','~(x==0)','Neumann','x==0');\n",
    "femPoisson(mesh,pde,option);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Pure Neumann boundary condition\n",
    "\n",
    "When pure Neumann boundary condition is posed, i.e., $-\\Delta u =f$ in $\\Omega$ and $\\nabla u\\cdot n=g_N$ on $\\partial \\Omega$, the data should be consisitent in the sense that $\\int_{\\Omega} f \\, dx + \\int_{\\partial \\Omega} g \\, ds = 0$. The solution is unique up to a constant. A post-process is applied such that the constraint $\\int_{\\Omega}u_h dx = 0$ is imposed. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:     4225,  #nnz:    41458, smoothing: (1,1), iter: 13,   err = 5.23e-10,   time = 0.084 s\n",
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:    16641,  #nnz:   164850, smoothing: (1,1), iter: 14,   err = 2.47e-10,   time = 0.13 s\n",
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:    66049,  #nnz:   657394, smoothing: (1,1), iter: 14,   err = 5.84e-10,   time = 0.36 s\n",
      "\n",
      " #Dof       h       ||u-u_h||    ||Du-Du_h||   ||DuI-Du_h|| ||uI-u_h||_{max}\n",
      "\n",
      " 1089   6.25e-02   4.45898e-04   6.57576e-02   1.35282e-02   1.75150e-03\n",
      " 4225   3.12e-02   5.64820e-05   1.67107e-02   2.25947e-03   2.36781e-04\n",
      "16641   1.56e-02   7.10333e-06   4.20307e-03   3.84722e-04   3.06054e-05\n",
      "66049   7.81e-03   8.90408e-07   1.05337e-03   6.65670e-05   3.88530e-06\n",
      "\n",
      " #Dof   Assemble     Solve      Error      Mesh    \n",
      "\n",
      " 1089   8.00e-02   3.48e-03   3.00e-02   1.00e-02\n",
      " 4225   2.00e-02   8.38e-02   2.00e-02   1.00e-02\n",
      "16641   1.20e-01   1.26e-01   7.00e-02   2.00e-02\n",
      "66049   4.70e-01   3.60e-01   2.50e-01   7.00e-02\n",
      "\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjAAAAGkCAIAAACgjIjwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "option.plotflag = 0;\n",
    "pde = sincosNeumanndata;\n",
    "mesh.bdFlag = setboundary(node,elem,'Neumann');\n",
    "femPoisson(mesh,pde,option);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Robin boundary condition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:     4225,  #nnz:    41473, smoothing: (1,1), iter: 11,   err = 9.54e-10,   time = 0.059 s\n",
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:    16641,  #nnz:   164865, smoothing: (1,1), iter: 12,   err = 1.74e-10,   time = 0.093 s\n",
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:    66049,  #nnz:   657409, smoothing: (1,1), iter: 12,   err = 1.97e-10,   time = 0.32 s\n",
      "\n",
      " #Dof       h       ||u-u_h||    ||Du-Du_h||   ||DuI-Du_h|| ||uI-u_h||_{max}\n",
      "\n",
      " 1089   6.25e-02   4.46184e-04   6.57577e-02   1.36110e-02   1.73084e-03\n",
      " 4225   3.12e-02   5.64917e-05   1.67107e-02   2.26778e-03   2.34617e-04\n",
      "16641   1.56e-02   7.10364e-06   4.20307e-03   3.85477e-04   3.04111e-05\n",
      "66049   7.81e-03   8.90418e-07   1.05337e-03   6.66341e-05   3.86933e-06\n",
      "\n",
      " #Dof   Assemble     Solve      Error      Mesh    \n",
      "\n",
      " 1089   6.00e-02   2.58e-03   1.00e-02   0.00e+00\n",
      " 4225   4.00e-02   5.93e-02   2.00e-02   1.00e-02\n",
      "16641   1.00e-01   9.26e-02   7.00e-02   1.00e-02\n",
      "66049   4.30e-01   3.19e-01   2.60e-01   5.00e-02\n",
      "\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjAAAAGkCAIAAACgjIjwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA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\nSUVORK5CYII=\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "option.plotflag = 0;\n",
    "pde = sincosRobindata;\n",
    "mesh.bdFlag = setboundary(node,elem,'Robin');\n",
    "femPoisson(mesh,pde,option);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusion\n",
    "\n",
    "The optimal rate of convergence of the H1-norm (2nd order) and L2-norm (3rd order) is observed. The order of $\\|\\nabla u_I - \\nabla u_h\\|$ is 2.5 order and thus superconvergence exists.\n",
    "\n",
    "MGCG converges uniformly in all cases."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Matlab",
   "language": "matlab",
   "name": "matlab"
  },
  "language_info": {
   "codemirror_mode": "octave",
   "file_extension": ".m",
   "help_links": [
    {
     "text": "MetaKernel Magics",
     "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
    }
   ],
   "mimetype": "text/x-matlab",
   "name": "matlab",
   "version": "0.14.3"
  },
  "toc": {
   "colors": {
    "hover_highlight": "#DAA520",
    "navigate_num": "#000000",
    "navigate_text": "#333333",
    "running_highlight": "#FF0000",
    "selected_highlight": "#FFD700",
    "sidebar_border": "#EEEEEE",
    "wrapper_background": "#FFFFFF"
   },
   "moveMenuLeft": true,
   "nav_menu": {
    "height": "120px",
    "width": "252px"
   },
   "navigate_menu": true,
   "number_sections": true,
   "sideBar": true,
   "threshold": 4,
   "toc_cell": false,
   "toc_section_display": "block",
   "toc_window_display": true,
   "widenNotebook": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
